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Finding the Third Proportional to 219,672 and 328,752

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Solution

The third proportional to 219,672 and 328,752 is: 491,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,672 : 328,752 = 328,752 : x
  2. Step 2: Convert to fraction form
    219,672/328,752 = 328,752/x
  3. Step 3: Cross multiply
    219,672x = 328,752 × 328,752
  4. Step 4: Simplify right side
    219,672x = 108,077,877,504
  5. Step 5: Solve for x
    x = 108,077,877,504/219,672
  6. Step 6: Final answer
    x = 491,996.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.